Answer:
3.33
Step-by-step explanation:
1st get the line in point slope form (y = mx + b)
-2X + 3y + 3 = 0
3y = 2x - 3
y = (2/3)x - (3/3)
y = (2/3)x - 1 (slope = 2/3 and y-intercept is -1)
The distance from a point to a line is line segment starting at the point and perpendicular (shortest distance) to 1st line. A line perpendicular to the 1st line will have a negative inverse slope. So the line created in point slope form will look like
y = mx + b
y = (-3/2)x + b and using the given point (3,5)
5 = (-3/2)3 + b
5 - (-3/2)3 = b
5 + 9/2 = b
b = 19/2 So it's equation is
y = (-3/2)x + 19/2
At the point where the segment intersects the 1st line, that point must solve both equations, so we can set the equation equal to each other (both y's and both x's same).
(2/3)x -1 = (-3/2)x + 19/2
(2/3)x - (-3/2)x = 1 + 19/2
(2/3 + 3/2)x = 21/2
x = (21/2) / (2/3 + 3/2) = 4.846, now plug that into the 1st equation to get y
y = (2/3)x - 1
y = (2/3)4.846 - 1
y = 2.231 so the intersection point is (4.846,2.231) from (3,5).
Because of the pythagorean theorem (the two points form a right triangle) the distance will be
C**2 = A**2 + B**2
= (4.846 - 3)**2 + (2.231 - 5)**2
= 1.846**2 + (2.769)**2
C = 3.33
The triangle shown below has an area of 40 units. Find the missing side.
8 and 9 are both sides (help meeee)
What is the answer to this ?
Answer:
the answer is 180
Step-by-step explanation:
How many feet are in a full minute, yes or no?
Answer:
2500 feet = 1 minute
Step-by-step explanation:
1. How many 5-digit numbers are there for which the last digit is not a 6 or an 8, the digit 6 appears exactly once, and the number is even
Answer:
8019 possible 5 digit numbers
Step-by-step explanation:
Available number to pick from are a total of 10 which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
>> Now, let's consider when the first digit is 6 since we are told that 6 can appear only once.
For the first digit, it's only 1 way.
For the 2nd, 3rd, and 4th digit, we have 9 digits to pick from. Which is 9 ways each.
While for the 5th digit, it can't be 6 or 7. And it has to be even and so, we can pick only 0, 2, 4. Thus, we have 3 ways to choose.
So total number of ways here = 1 × 9 × 9 × 9 × 3 = 3 × 9³ ways
>> Now, let's consider when the 2nd digit is 6 since we are told that 6 can appear only once.
For the 1st digit, since 6 is not possible, and also 0 is not possible because a 5 digit number can't start with zero as it would no longer be a 5 digit number.
Thus, there are 8 ways to choose here.
For the second, third and fourth digits, there will be 9 ways each to chops.
While for the fifth digit, there will be 3 ways to choose.
Total number of ways here = 8 × 1 × 9 × 9 × 3 = 24 × 9² ways
>> When the third digit is 6, number of ways to choose will be same as above = 24 × 9² ways
>> When the fourth digit is 6, number of ways to choose will be same as above = 24 × 9² ways
We can't say none of the digits is 6 because we are told it appears exactly once.
Thus, total possible 5 digit numbers are;
(3 × 9³) + 3(24 × 9²) = 8019 possible 5 digit numbers
I have 56,552 pencils. I share it with 25 teachers. How many pencils does each teacher get?
Answer:
2262.08 pencils each. man it is silly. 56552/25
Step-by-step explanation:
Plz help me well mark brainliest if correct
Cassie started with $48 in her savings account. She adds the same amount of money to the account each week. The table shows how much money
she has in her savings account at the end of each week shown. How much money does Cassie add to her savings account each week? Help ASAP
Answer:
I think its 12
Step-by-step explanation:
If you subtract from each its 36 but since it goes by 3 weeks you divide 36 by 3 and get 12. I am not 100% sure though.
An art teacher has 3 3/5 gallons of paint to pour into containers. If each container holds 2/5
gallon, how many containers can they fill?
Answer:
9 containers
Step-by-step explanation:
Please help me I don’t know the answer
Answer:
D
Step-by-step explanation:
the highest real number stops at 4, which means all the sets of real number are less than 4.
Exact value of csc 570 degrees and tell me the lengths of the sides of the triangle
Answer:
[tex] \csc(570 \degree) = \frac{1}{ \sin(570 \degree) } \\ = \frac{1}{ - 0.5} \\ = - 2[/tex]
an investigator traveling on official buisness in his personal vehicle had to make emergancy repairs to the vehicle. he paid $150 for the repairs to the vehicle for repairs plus 15% of this amount to compensate the mechanic for the repair work performed overtime. the investigator's office reimbbursed him $100 plus 40% of any amount over $100. which one of the equations represent the amount that the investigator was reimbursed for the repairs?
Answer:
x+40%of x
Step-by-step explanation:
here x is the 100$
can I please get help? Will give brainliest
Answer:
x=-8
Step-by-step explanation:
First multiply both sides by 8
-6=-[tex]\frac{7}{8}[/tex]x-13
Next, move the terms so that x is by itself
-48=-7x-104
7x=-104+48
Finally, you can solve
7x=-56
x=-8
carol rolled a dice 150 times she rolled a six 39 time
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
Can Someone please help?
Answer:
c) 3/12
Step-by-step explanation:
This is because if we bring 3/12 to its lowest form,
(3/3)/(12/3) = 1/4
Hope it helps :)
The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles.
Answer:
The base angles measure 78.46 degrees to the nearest hundredth.
Step-by-step explanation:
Applying the Cosine Rule:
10^2 = 10^2 + 4^2 - 2.4.10cosX where X is a base angle.
cos X = (100 - 100 - 16)/ (-80)
cos X = -16/-80
cos X = 0.2
X = 78.463 degrees
I can’t figure this stuff out
Answer:
[tex]3\sqrt{85}[/tex] = EC
Step-by-step explanation:
21² + 18² = EC²
441 + 324 = EC²
765 = EC²
[tex]\sqrt{765}[/tex] = EC
Simplified: [tex]3\sqrt{85}[/tex] = EC
Hope this helps!
please tell me where to graph this!! (include if i open circle or not please) (NO FILE ANSWER!!!)
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)
Answer:
closed circle on 3 with line pointing right
Step-by-step explanation:
the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3
If the roots of a quadratic equation are -2 and 3, then what would the equation be in factored and standard
form? Not all tiles will be used. There should one tile for each item.
Answer:
m=3
n=2
Step-by-step explanation:
What is the same ration of 2/3
Answer:
4/6
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation:
The band must decide when to meet for a practice. The possible days are Tuesday or Wednesday. The possible times are 3, 4, or 5 p.m.
Write the sample space to represent all of the options. How many options are there?
Answer:
There are 6 options, sample space is below.
Step-by-step explanation:
The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options. Therefore, the sample space is: (usually this would be a picture, with arrows. search it )
for Tuesday: 3, 4, or 5
for Wednesday: 3, 4, or 5
Are these ratios equivalent?
$6 for 57 visitors
$10 for 95 visitors
Answer:
You got it! 9.5 per dollar
Step-by-step explanation:
Plz help me well mark brainliest if correct!...
Answer:
The population will get smaller.
Step-by-step explanation:
If the food decreases, then the people won’t have anything to eat, and so some will die, thus resulting in a lower population.
54 divided by u = 9.
Answer:
6 = u
Step-by-step explanation:
54 / u = 9
We have to isolate "u" all by itself;
54 = 9*u
54 / 9 = u
6 = u
Hope this helps!
Answer:
6
Step-by-step explanation:
We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,
Equation :-
→ 54/u = 9
→ 1/u = 9 × 1/54
→ 1/u = 1/6
→ u = 6
Hence the required answer is 6.Will give brainliest answer
Answer:
a
Step-by-step explanation:
n an amusement park, the bumper cars are sometimes becoming disabled and in need of repair. The repairman can fix the disabled bumper cars in an average time of 20 minutes with a standard deviation of 20 minutes. Cars tend to break down at two per hour between two consecutive breakdowns following an exponential distribution. What is the total time for a disabled bumper car to be fixed
Answer:
1 hour 20 minutes
Step-by-step explanation:
Time to fix car ( repair time ) = 20 minutes
Breakdown rate ( λ ) = 2 car per hour
first step : determine service the service rate ( μ )
= 60 minutes / 20 minutes
= 3 cars per hour
next : determine the average waiting time for a disabled car
= 1 / (μ - λ)
= 1 / service rate - breakdown rate
= 1 / ( 3 - 2 )
= 1 / 1 = 1 hour
Finally Total time for a disabled car to be fixed
= repair time + average waiting time
= 20 minutes + 60 minutes
= 1 hour 20 minutes
Question: A square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between the squares?
Answer:
The total area between the squares is of 24 units squared.
Step-by-step explanation:
Area of a square:
The area of a square of side length l is given by:
[tex]A = l^2[/tex]
Area between figures:
The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.
Larger square:
Square with side of length 7. So
[tex]A_l = 7^2 = 49[/tex]
Smaller square:
Square with side of length 5. So
[tex]A_s = 5^2 = 25[/tex]
What is the total area between the squares?
[tex]T = A_l - A_s = 49 - 25 = 24[/tex]
The total area between the squares is of 24 units squared.
If You can pls answer all 4 with the equations
•What is the value of the expression
6x - 2y +5y when x=10 and y=3?
•If x - 16 = 29, what is the value of 2(x + 5)
•What is the value of 3n² - 4m ÷ 6 when n=4 and m=18?
•Find the value of (⅑)³
9514 1404 393
Answer:
69100-241/729Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic. Your calculator can help.
1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69
__
2. add 16 to find x.
x -16 = 29
x = 45
Then do the substitution:
2(45 +5) = 2(50) = 100
__
3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24
__
4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729
Does this table represent a function? Why or why not?
х
4
7
8
8
10
y
0
5
5
8
9
A. No, because two of the y-values are the same.
оо
B. Yes, because every x-value corresponds to exactly one y-value.
O C. No, because one x-value corresponds to two different y-values.
D. Yes, because there are two X-values that are the same.
SUBMIT
Answer:
C. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
Every relation or table of values that represents a function must have exactly one range value (output) assigned or related to one domain value (input). That is to say, each x-value must not have more than one y-value assigned to it.
From the table of values given, an x-value, 8, has more than one y-value, 5 and 8, assigned to it.
Therefore, it is not a function.
The answer is:
C. No, because one x-value corresponds to two different y-values.
Answer:
c
Step-by-step explanation:
Plz help me well mark brainliest!!
What is the surface area of the prism in square feet?
9 square feet
24 square feet
26 square feet
O 52 square feet
Answer:
SA = 52 ft²
Step-by-step explanation:
The opposite faces of the prism are congruent , then
SA = 2(3 × 2) + 2(2 × 4) + 2(3 × 4)
= 2(6) + 2(8) + 2(12)
= 12 + 16 + 24
= 52 ft²
Answer:
52
Step-by-step explanation:
Surface area = sum of faces areas
SA of a rectangular prism = 2 ( lw + wh + lh )
where l = length, w = width and h = height
The prism has the following dimensions
l = 3
h = 4
w = 2
That being said we want to plug in these dimensions into the formula
SA = 2 ( 3*4 + 4*2 + 2*3 )
3*4=12
4*2=8
2*3=6
SA = 2 ( 12 + 8 + 6 )
12 + 8 + 6 = 26
SA = 2(26)
SA = 52
Will mark brainist if you can help
Answer:
2/5 or 40 percent
Step-by-step explanation:
All we need to solve this problem are the total number of boys and the total number of girls. Since we already know how many boys there are (6) , let's start by finding the girls, which is marked as b. Looking at the chart, we can tell that
8 + a = b
but we don't know what a is yet. How about we find that out first? If we look vertically, we can see that
a + 4 = 5
so
a = 1.
Now, we can find b.
b = 9
To find the probability of selecting a boy, we have to divide the number of boys by the total number of people.
boys/total = 6 / 15
Simplifying, we get the answer
2/5.